A neuro-heuristic scheme is design to solve nonlinear singular second order system based
on Thomas-Fermi equation using the strength of universal approximation capabilities of …

In this paper, the nonlinear singular Thomas–Fermi differential equation for neutral atoms is
solved using the fractional order of rational Chebyshev orthogonal functions (FRCs) of the …

This paper introduces modified collocation techniques that utilize Chebyshev and Legendre
polynomials for solving Thomas–Fermi type equations with integral-type boundary …

This paper presents a novel physics-informed machine learning approach, designed to
approximate solutions to a specific category of Thomas–Fermi differential equations. To …

In this study, a novel bio-inspired computing approach is developed to analyze the dynamics
of nonlinear singular Thomas–Fermi equation (TFE) arising in potential and charge density …

In this paper, a new method based on Fractional order of Rational Jacobi (FRJ) functions is
proposed that utilizes quasilinearization method to solve non-linear singular Thomas-Fermi …

In this paper, a new algorithm based on the fractional order of rational Euler functions (FRE)
is introduced to study the Thomas-Fermi (TF) model which is a nonlinear singular ordinary …

We propose a computational intelligence technique to solve the nonlinear Thomas-Fermi
equation for a finite interval. This technique uses an optimized approximation to reduce the …

Two new functions on the semi-infinite interval, namely Rational Gegenbauer (R) and
Exponential Gegenbauer (E) functions are proposed to solve the heat transfer problem. The …

In this paper, the fractional order of rational Bessel functions collocation method (FRBC) to
solve Thomas-Fermi equation which is defined in the semi-infinite domain and has …